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Finding the Fourth Proportional to 87,615, 120,908.70 and 47,871

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Solution

The fourth proportional to 87,615, 120,908.70 and 47,871 is: 66,061.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,615 : 120,908.70 = 47,871 : x
  2. Step 2: Convert to fraction form
    87,615/120,908.70 = 47,871/x
  3. Step 3: Cross multiply
    87,615x = 120,908.70 × 47,871
  4. Step 4: Simplify right side
    87,615x = 5,788,020,377.70
  5. Step 5: Solve for x
    x = 5,788,020,377.70/87,615
  6. Step 6: Final answer
    x = 66,061.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.